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Matrix multiplication is commutative. - Mathematics

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Question

Matrix multiplication is commutative.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

If AB is defined, it is not necessary that BA is defined.

Also if AB and BA are defined, it not”necessary that they have same order.

Further if AB and BA are defined and have same order, it is not necessary their corresponding elements are equal.

So, in general AB^BA

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Chapter 3: Matrices - Exercise [Page 63]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 3 Matrices
Exercise | Q 87 | Page 63

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